An obstacle problem for a class of Monge-Ampere type functionals

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Liu, Jiakun¹  Zhou, Bin^2,3 

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

关键词: Obstacle problem;    Regularity;    Strict convexity;    Fourth order equations;    Affine area functional;    Abreu's equation;   

DOI  :  10.1016/j.jde.2012.10.017

来源: Elsevier

【 摘 要 】

In this paper we study an obstacle problem for Monge-Ampere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equation and Abreu's equation. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free